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Shape identification for natural convection problems using the adjoint variable method
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DOI：10.1016/S0021-9991(03)00046-9.png)
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Abstract
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An inverse geometry problem is investigated to identify the boundary shape of a domain from temperature measurements on the other boundary, where the temperature field is dominated by natural convection. The potential applications of the present investigation are the determination of a phase change isotherm in the Bridgman crystal growth or the thermal tomography which detects flaws in materials nondestructively. The inverse problem is posed as a minimization problem of the performance function, which is the sum of square residuals between calculated and observed temperature, by means of a conjugate gradient method employing the adjoint variable method. The present method is found to identify the domains reasonably accurately even with noisy temperature measurements. (C) 2003 Elsevier Science B.V. All rights reserved.
Keywords:
shape identification
natural convection
adjoint variable method
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